Weird question wording. I take it should mean that this is a quadratic equation with solutions of x = -5 and x = 8. Then these are the factors: (x+5) and (x-8).
So
(x+5)(x-8) = 0 is the equation because x = -5 and x = 8 can make left-side equal to 0. But we expand so it becomes x² - 3x - 40 = 0
Answer:
3. multiply the numerator and denominator of the fraction by 2
Step-by-step explanation:
Multiplying the numerator and denominator by 2 is like multiplying the fraction by 2/2. 2/2 is one so it doesn't change the value.
Answer:
The total you have to pay for the TV is $115.9
Step-by-step explanation:
When we have a discount we have to make a substraction, when we have tax we have to sum so:
$125.67 * 15 % = 18.85
125.67 - 18.85 = 106.82
Now we have to add the tax
106.82 * 8.5% = 9.08
106.82 + 9.08 = 115.9
Answer:
14 pints of 20% juice
56 pints of 95% juice
Step-by-step explanation:
Let
x be pints of 20% pure fruit juice, thus
70 - x will be pints of 95% pure fruit juice
The equation, thus can be written as:
20%x + 95% (70-x) = 80% (70)
Solving for x:

And 70 - x would be 70 - 14 = 56
Thus,
14 pints of 20% juice is needed, and
56 pints of 95% juice is needed
If each board is going to be 47 and 1/2 inches long, and there'll be 24 of them, then their total is just their product.
keep in mind that there are 12 inches in 1 foot.